Pith Number

pith:FT6RPTZY

pith:2011:FT6RPTZYIP4BUZ4TYCEQHLX2MP

not attested not anchored not stored refs pending

Pattern avoidance in ascent sequences

Einar Steingrimsson, Paul Duncan

arxiv:1109.3641 v2 · 2011-09-16 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FT6RPTZYIP4BUZ4TYCEQHLX2MP}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:09:55.957624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cfd17cf3843f81a6793c08903aefa63fec3424cbf15bafad6910689857a4bb5

Aliases

arxiv: 1109.3641 · arxiv_version: 1109.3641v2 · doi: 10.48550/arxiv.1109.3641 · pith_short_12: FT6RPTZYIP4B · pith_short_16: FT6RPTZYIP4BUZ4T · pith_short_8: FT6RPTZY

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/FT6RPTZYIP4BUZ4TYCEQHLX2MP \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 2cfd17cf3843f81a6793c08903aefa63fec3424cbf15bafad6910689857a4bb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cd9c1ad88a8f8ed1331500620cb0bd984607d842d8f7954485d0ecdf0236c44",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-09-16T15:01:44Z",
    "title_canon_sha256": "95fba47fe1d868074c9143907b40a1cf58e5f69680a9b948382659382131f979"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3641",
    "kind": "arxiv",
    "version": 2
  }
}